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Finding the Third Proportional to 34,662 and 75,396

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Solution

The third proportional to 34,662 and 75,396 is: 163,999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,662 : 75,396 = 75,396 : x
  2. Step 2: Convert to fraction form
    34,662/75,396 = 75,396/x
  3. Step 3: Cross multiply
    34,662x = 75,396 × 75,396
  4. Step 4: Simplify right side
    34,662x = 5,684,556,816
  5. Step 5: Solve for x
    x = 5,684,556,816/34,662
  6. Step 6: Final answer
    x = 163,999.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.